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Squeeze flow of soft solids between rough surfaces

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Abstract

Newtonian liquids and non-Newtonian soft solids were squeezed between parallel glass plates by a constant force F applied at time t=0. The plate separation h(t) and the squeeze-rate \( V = - \dot h \) were measured for different amplitudes of plate roughness in the range 0.3–31 μm. Newtonian liquids obeyed the relation V∝h 3 of Stephan (1874) for large plate separations. Departures from this relation that occurred when h approached the roughness amplitude were attributed to radial liquid permeation through the rough region. Most non-Newtonian materials showed boundary-slip that varied with roughness amplitude. Some showed slip that varied strongly during the squeezing process. Perfect slip (zero boundary shear stress) was not approached by any material, even when squeezed by optically-polished plates. If the plates had sufficient roughness amplitude (e.g. about 30 μm), boundary slip was practically absent, and the dependence of V on h was close to that predicted by no-slip theory of a Herschel-Bulkley fluid in squeeze flow (Covey and Stanmore 1981, Adams et al. 1994).

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Acknowledgements

I am grateful to JD Sherwood (Schlumberger) and WG Griffin (University of Cambridge; Earth Sciences) for useful discussions and to EW Llewellin (University of Bristol) for unpublished LGS data. I am obliged to MC Sheppard (Schlumberger) for his support.

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  1. Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge, CB3 0EL, UK

    Gerald Henry Meeten

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Meeten, G.H. Squeeze flow of soft solids between rough surfaces. Rheol Acta 43, 6–16 (2004). https://doi.org/10.1007/s00397-003-0311-1

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